What is ln((s^2+16)/(s^2+64)) ?

The solution to ln((s^2+16)/(s^2+64)) is ln(s^2+16)-ln(s^2+64)

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simplify ln((s^2+16)/(s^2+64))

simplify

ln (\frac{s ^{2} + 16}{s ^{2} + 64})

ln (s^{2} + 16) - ln (s^{2} + 64)

Solution steps

ln (\frac{s ^{2} + 16}{s ^{2} + 64})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{s ^{2} + 16}{s ^{2} + 64}) = ln (s^{2} + 16) - ln (s^{2} + 64)

= ln (s^{2} + 16) - ln (s^{2} + 64)

ln (\frac{12}{5})

ln (x) + 2 ln (y) - 3 ln (z)

2 ln (x) + ln (x + 1)

\frac{1}{2} ln (x) + 7 ln (y) - 3 ln (w)

lo g_{10} (3 x y)

What is ln((s^2+16)/(s^2+64)) ?
The solution to ln((s^2+16)/(s^2+64)) is ln(s^2+16)-ln(s^2+64)